632446920 has 768 divisors, whose sum is σ = 2807136000. Its totient is φ = 125411328.

The previous prime is 632446907. The next prime is 632446949. The reversal of 632446920 is 29644236.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17093142 + ... + 17093178.

It is an arithmetic number, because the mean of its divisors is an integer number (3655125).

Almost surely, 2^632446920 is an apocalyptic number.

632446920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632446920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403568000).

632446920 is an abundant number, since it is smaller than the sum of its proper divisors (2174689080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

632446920 is a wasteful number, since it uses less digits than its factorization.

632446920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 632446920 is about 25148.4973706184. The cubic root of 632446920 is about 858.3703228056.

The spelling of 632446920 in words is "six hundred thirty-two million, four hundred forty-six thousand, nine hundred twenty".